On the autofocus they say it is just as fast as the DSLRs for stationary subjects, but does not doquite as well, for subjects moving towards or away. Could be things moving fast like bicyclists...
http://www.dpreview.com/reviews/PanasonicDMCGH2/page9.asp
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Panasonic's G-series has set the standard for contrast-detection autofocus for some time now, and the GH2 raises the bar again. At 120Hz the GH2's sensor's readout speed is considerably better than its siblings, which pays off in noticeably improved contrast-detection AF compared to the GF2 and G2. In fact, for day to day (i.e. non-specialized) use we consider the GH2's CDAF system to be virtually on a par with most competitive phase-detection systems in terms of its speed.
As well as being pleasantly fast and responsive, focus accuracy is impressive too. As we've come to expect from cameras with high-end CDAF systems, the GH2 is unerringly accurate with static subjects, and you can be confident that when it confirms the subject is in focus, it really means it. It is easy to overlook Face Detection, but for casual photography it is enormously useful. We're not completely sold on the need for Face Recognition, but it works very well.
The GH2's AF tracking mode is also pretty effective, reliably following subjects as they move around the screen. Although it is undoubtedly slightly quicker than the G2 and GF2, the GH2's autofocus system has similar difficulties when it comes to following subject movement towards or away from the camera. Basically, the AF system isn't always able to keep up with the camera's understanding of where the subject has gone, meaning that there's sometimes a little shutter lag while it catches up. If you continue to track the subject the camera will tend to get the focus right, but this does mean you sometimes miss the perfect moment when working with fast-moving subjects. (You can of course turn Focus Priority off, but this risks the image being out-of-focus). Hunting - where the AF system is unable to stay with its target and makes large experimental adjustments to re-acquire it - can also be an issue with the GH2, but only occasionally.
To a large extent, this is simply a limitation of CDAF technology. A CDAF system has no way of knowing whether a subject is sharp or not without shifting focus back and forth to check the difference in contrast. When it comes to continuous CDAF, matters become even more complicated, since if the subject moves out of the plane of focus the system has no way of telling whether it has moved to a position behind the focal plane or in front of it, again, without shifting the focusing element/s back and forth to check. Not only is this more time-consuming than the equivalent operation in a phase-detection system, it also makes 'predictive' AF more processor-intensive. Obviously this creates problems when it comes to accurately tracking subjects moving towards or away from the camera.
The increased speed of the GH2's sensor readout compared to other G-series (and indeed the Olympus PEN) cameras means that it can output subject contrast information more quickly, and we're left in no doubt after using the camera for some time that the GH2 offers the best all-round CDAF performance of any current camera. Ultimately though, while it bests its Micro Four Thirds peers, the GH2's continuous AF performance isn't quite up there with the phase-detection systems of competitive DSLRs.
Where continuous AF comes in really handy is when shooting video. Although it displays the characteristic (and to some extent inevitable) CDAF 'wobble' when it initially locks onto a subject, focus is very smooth, and generally very accurate. Just as with still shooting, continuous AF can lag a little behind subjects which are either moving very quickly or are closing rapidly with the camera, but this is far less noticeable in movie footage.